Some Orthogonal Polynomials Representing the Energy Spectral Functions for a Family of Isotropic Turbulence Fields
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Publication:4746823
DOI10.1002/zamm.19840640612zbMath0509.33008OpenAlexW2057246597MaRDI QIDQ4746823
Publication date: 1984
Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/zamm.19840640612
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Classical hypergeometric functions, ({}_2F_1) (33C05)
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Expansions in series of varying Laguerre polynomials and some applications to molecular potentials ⋮ General recurrence and ladder relations of hypergeometric-type functions ⋮ Some families of generating functions for the Bessel polynomials ⋮ Approximate closed-form formulas for the zeros of the Bessel polynomials ⋮ Spectral semi-discretization algorithm for a class of nonlinear parabolic PDEs with applications ⋮ Certain classes of finite-series relationships and generating functions involving the generalized Bessel polynomials. ⋮ Integral representations for the Lagrange polynomials, Shively's pseudo-Laguerre polynomials, and the generalized Bessel polynomials ⋮ Ladder operators and recursion relations for the associated Bessel polynomials ⋮ Some Generating Functions for the Generalized Bessel Polynomials ⋮ Orthogonality relations and generating functions for the generalized Bessel polynomials ⋮ A certain class of \(q\)-Bessel polynomials
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